\(\log 1000 = \)
\(3\)
\begin{aligned}\log 1000 &=\log 10^{3} \\&=3\end{aligned}
\(\log 0.0001 = \)
\(-4\)
\begin{aligned}\log 0.0001=& \log \frac{1}{10000} \\=& \log \frac{1}{10^{4}} \\=& \log 10^{-4} \\=&-4\end{aligned}
\(\log 4000 = \)
\(3.602\)
\(\text { From calculator } \log 4000=3.602\)
\(\log x = 2.5,\,\,x = ?\)
\(x=316\)
\begin{aligned}\log x=2.5 \rightarrow x &=10^{2.5} \\& \doteqdot 316\end{aligned}
\(\log x = - 1.5,\,\,x = ?\)
\(0.0316\)
\begin{aligned}\log x=-1.5 \rightarrow x &=10^{-1.5} \\x &=0.0316\end{aligned}
